It is possible to find the speed of the ball with kinematics. By solving for time and using gravity and the distance traveled. It is also possible to use energy by calculating the PE and KE.
Procedure:
We calibrated the ballistic pendulum so that the ball successfully entered the pendulum and remained inside. We pulled back the shooter and fired it several times to ensure accuracy, carefully measuring the angle and height of the pendulum. We then found the mass of the ball and pendulum. We plugged these numbers into our equation to solve for Vb. This gave us our experimental value. We shot the ball from the ballistic pendulum to the ground to find the distance and time needed to find the actual value. We compared our experimental value to the actual and found our percent error.
Angle Measurements:
23.5
21.5
21.0
22.5
23.5
25.0
22.0
Ball:
7.632 g
Ball & Pendulum:
86.58
Horizontal Distance: 3m
Vb= √((2gh) 8 (Mb+Mp))/Mb
g= 9.8m/s
Degree Average = (21+22.5+23.5+25+22)/5= 22.8 degrees
h= .233- .233cos22.8= .018
Mb= .008kg
Mp= .080 kg
Vb= √((2(9.8)(.018)) (.008+.080))/ .008
Vb= 6.53 m/s
d=3m
d=(1/2)at²
3= .5 (9.8) t²
3= 4.9 t²
.612= t²
.782= t
v= d/t
v= 3/.782= 3.84 m/s
Percent Error= (actual-experimental)/experimental= (3.84-6.53)/ 6.53 = .413
41.3% Error
It is possible to find the speed of the ball with kinematics. By solving for time and using gravity and the distance traveled. It is also possible to use energy by calculating the PE and KE.
Procedure:
We calibrated the ballistic pendulum so that the ball successfully entered the pendulum and remained inside. We pulled back the shooter and fired it several times to ensure accuracy, carefully measuring the angle and height of the pendulum. We then found the mass of the ball and pendulum. We plugged these numbers into our equation to solve for Vb. This gave us our experimental value. We shot the ball from the ballistic pendulum to the ground to find the distance and time needed to find the actual value. We compared our experimental value to the actual and found our percent error.